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Note on a formula connected with Fourier Series

Published online by Cambridge University Press:  20 January 2009

H. M. Macdonald
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An expression for the sum of a series of terms which takes account of the different rates of oscillation of the functions involved is of importance for series such as occur in the problems of diffraction, and a relation of this kind has been given by Poisson. This relation can be written in the form

where Sm denotes the sum of m terms of the series Σun, beginning with the term un.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 44 , February 1925 , pp. 2 - 7
Copyright
Copyright © Edinburgh Mathematical Society 1925

References

page 2 note * Mem, de l'Acad. des Sciences, t. VI, pp. 5–78, 5–91.